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14 December 2024
 
  » arxiv » cond-mat/9710201

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Low-temperature asymptotics of free energy of 3D Ising model in an external magnetic field
Martin S. Kochman’ski ;
Date 20 Oct 1997
Subject Statistical Mechanics | cond-mat.stat-mech
AffiliationInstitute of Physics, Ped.Univ.
AbstractThe paper presents new method for calculating the low-temperature asymptotics of free energy of the 3D Ising model in external magnetic field $(H eq 0)$. The results obtained are valid in the wide range of temperature and magnetic field values fulfilling the condition: $[1- anh(h/2)]simepsilon,$ for $epsilonll 1$, where $h=eta H$, $eta$ - the inverse temperature and $H$ - external magnetic field. For this purpose the method of transfer-matrix, and generalized Jordan-Wigner transformations, in the form introduced by the author in $cite{mkoch95}$, are applied.
Source arXiv, cond-mat/9710201
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